Finite Group Databasebeta

← Group #11873299

Character table — Group #11873299

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444448121212121212121224242424242424244444448812121212121212121212124481212121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-1-1-11111-1-111111-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-1-111-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1111-1-111-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111-1-1-111-111-1-11111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-111-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-1-11-1-1-11111-1-1-111-111-111-1-1
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111111-1-111-1-1-111-1-11-1-1-1-11-1-11-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-111-111-1-1-111-1-1-111
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1111-1-1
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1-1111-1-1-1-1111-1-111-111111-1-11-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1111-1-1-1-1111-1-1-111-1111-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-11-1-11111-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-11-11111-1-11-1-111-111-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000200-20022-2-2-2-20000000000000020000-20020000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-20020022-2-22200000000000000-20000200-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000200-200-2-222-2-20000000000000020000200-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-200200-2-2222200000000000000-20000-20020000
χ2122222-1222-12-1-12-122-1-1-12-1-1222222222-1-1-1-1-1-1-1-122-1-1-1-100022000-1-1-1-1002-1-1-1-1022-1-1-1-1000-1-10000000000
χ2222222-1222-12-1-12-122-1-1-12-1-122222-2-22211-1-1-1-111-2-2111100022000-1-1-1-100-211-1-10-2-2-1-111000110000000000
χ2322222-1222-12-1-12-122-1-1-12-1-12-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1000-2-20001111002-1-1-1-10-2-21111000110000000000
χ2422222-1222-12-1-12-122-1-1-12-1-12-2-2-2-2-2-22211-1-1-1-111-2-21111000-2-2000111100-211-1-102211-1-1000-1-10000000000
χ2522222-1222-12-1-12-1-2-2-1-1-12-1-1222222-2-2-2-1-111-1-111-2-21111000-2-2000-1-1-1-1002-1-11102-211-1-1000110000000000
χ2622222-1222-12-1-12-1-2-2-1-1-12-1-122222-22-2-21111-1-1-1-122-1-1-1-1000-2-2000-1-1-1-100-211110-221111000-1-10000000000
χ2722222-1222-12-1-12-1-2-2-1-1-12-1-12-2-2-2-22-2-2-2-1-111-1-111-2-21111000220001111002-1-1110-22-1-111000-1-10000000000
χ2822222-1222-12-1-12-1-2-2-1-1-12-1-12-2-2-2-2-22-2-21111-1-1-1-122-1-1-1-100022000111100-2111102-2-1-1-1-1000110000000000
χ292222-1222-12-122-1-122-1-1-1-122-1000022-1-12222-1-122-1-1-1-1-1-1222002220000-1-1-1-1-1-1-12000000-1-1-100-1-1000000-10
χ302222-1222-12-122-1-122-1-1-1-122-1000022-1-12222-1-122-1-1-1-1-1-1-2-2-200-2-2-2000011-1-1-1-1-1-2000000111001100000010
χ312222-1222-12-122-1-122-1-1-1-122-10000-2-2-1-1-2-222-1-1-2-2111111222002-2-20000-1-1111-1-1-2000000-1-1-1001100000010
χ322222-1222-12-122-1-122-1-1-1-122-10000-2-2-1-1-2-222-1-1-2-2111111-2-2-200-222000011111-1-1200000011100-1-1000000-10
χ332222-1222-12-122-1-1-2-2-1-1-1-122-100002-21122-2-2-1-1-2-211111122-200-222000011-1-1-111-2000000-1-1100-1-100000010
χ342222-1222-12-122-1-1-2-2-1-1-1-122-100002-21122-2-2-1-1-2-2111111-2-22002-2-20000-1-1-1-1-111200000011-10011000000-10
χ352222-1222-12-122-1-1-2-2-1-1-1-122-10000-2211-2-2-2-2-1-122-1-1-1-1-1-122-200-2-2-2000011111112000000-1-110011000000-10
χ362222-1222-12-122-1-1-2-2-1-1-1-122-10000-2211-2-2-2-2-1-122-1-1-1-1-1-1-2-22002220000-1-111111-200000011-100-1-100000010
χ372-2-22222-22-2-22-2-2200-2-22-22-222i−2i2i−2i00000000-22000000002i−2i0000002i−2i2i−2i000000000000002i−2i0000002-200000
χ382-2-22222-22-2-22-2-2200-2-22-22-222i−2i2i−2i00000000-2200000000−2i2i0000002i−2i2i−2i00000000000000−2i2i000000-2200000
χ392-2-22222-22-2-22-2-2200-2-22-22-22−2i2i−2i2i00000000-22000000002i−2i000000−2i2i−2i2i000000000000002i−2i000000-2200000
χ402-2-22222-22-2-22-2-2200-2-22-22-22−2i2i−2i2i00000000-2200000000−2i2i000000−2i2i−2i2i00000000000000−2i2i0000002-200000
χ412-2-2222-222-2-22-2-222-2-2-222-22-22i−2i−2i2i002-2002-22-2000000000002i−2i0002i−2i−2i2i000002-20002i−2i00000000000000000
χ422-2-2222-222-2-22-2-222-2-2-222-22-2−2i2i2i−2i002-2002-22-200000000000−2i2i000−2i2i2i−2i000002-2000−2i2i00000000000000000
χ432-2-2222-222-2-22-2-22-22-2-222-22-22i−2i−2i2i00-2200-222-200000000000−2i2i0002i−2i−2i2i00000-22000−2i2i00000000000000000
χ442-2-2222-222-2-22-2-22-22-2-222-22-2−2i2i2i−2i00-2200-222-2000000000002i−2i000−2i2i2i−2i00000-220002i−2i00000000000000000
χ452-2-222-1-2221-2-11-2-12-211-121-1-22i−2i−2i2i002-23−3-11-113−30033−3−30002i−2i000−iii−i0003−3-11000−ii−i3i3000−i3i30000000000
χ462-2-222-1-2221-2-11-2-12-211-121-1-22i−2i−2i2i002-2−33-11-11−3300−3−3330002i−2i000−iii−i000−33-11000−iii3−i3000i3−i30000000000
χ472-2-222-1-2221-2-11-2-12-211-121-1-2−2i2i2i−2i002-23−3-11-113−30033−3−3000−2i2i000i−i−ii0003−3-11000i−ii3−i3000i3−i30000000000
χ482-2-222-1-2221-2-11-2-12-211-121-1-2−2i2i2i−2i002-2−33-11-11−3300−3−333000−2i2i000i−i−ii000−33-11000i−i−i3i3000−i3i30000000000
χ492-2-222-1-2221-2-11-2-1-2211-121-1-22i−2i−2i2i00-223−31-1-11−3300−3−333000−2i2i000−iii−i0003−31-1000i−i−i3i3000i3−i30000000000
χ502-2-222-1-2221-2-11-2-1-2211-121-1-22i−2i−2i2i00-22−331-1-113−30033−3−3000−2i2i000−iii−i000−331-1000i−ii3−i3000−i3i30000000000
χ512-2-222-1-2221-2-11-2-1-2211-121-1-2−2i2i2i−2i00-223−31-1-11−3300−3−3330002i−2i000i−i−ii0003−31-1000−iii3−i3000−i3i30000000000
χ522-2-222-1-2221-2-11-2-1-2211-121-1-2−2i2i2i−2i00-22−331-1-113−30033−3−30002i−2i000i−i−ii000−331-1000−ii−i3i3000i3−i30000000000
χ5344444-2-4-44-24-2-24-200-2-2-2-422-444-4-400000000220000000000000000-2-22200000000000000000000000000000
χ5444444-2-4-44-24-2-24-200-2-2-2-422-4-4-4440000000022000000000000000022-2-200000000000000000000000000000
χ554444-24-4-4-24-244-2-200-2-2-22-4-42000000000000220000000000400-40000002200000000000000-2000000000000
χ564444-24-4-4-24-244-2-200-2-2-22-4-42000000000000220000000000-4004000000-2-2000000000000002000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-422-2-222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-44-4-4-44400-44-40000000000000000000000000000000022−220000000000000000000000022−2200000000
χ6244-4-44400-44-4-4-44400-44-400000000000000000000000000000000−222200000000000000000000000−222200000000
χ6344-4-4-2400242-4-4-2-2002-22000000000000000000006−66−66−600000022−22000023−2300000000000000000−2200000000
χ6444-4-4-2400242-4-4-2-2002-22000000000000000000006−66−66−6000000−22220000−2323000000000000000002−200000000
χ6544-4-4-2400242-4-4-2-2002-2200000000000000000000−66−66−6600000022−220000−232300000000000000000−2200000000
χ6644-4-4-2400242-4-4-2-2002-2200000000000000000000−66−66−66000000−2222000023−23000000000000000002−200000000
χ674-44-44400-4-44-44-44004-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ684-44-44400-4-44-44-44004-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ694-4-444-24-442-4-22-4-20022-2-4-2244i−4i4i−4i000000002-20000000000000000−2i2i−2i2i00000000000000000000000000000
χ704-4-444-24-442-4-22-4-20022-2-4-224−4i4i−4i4i000000002-200000000000000002i−2i2i−2i00000000000000000000000000000
χ714-4-44-244-4-2-424-42-20022-224-4-20000000000002-2000000004i−4i000000000000000000000000−2i2i0000000000000
χ724-4-44-244-4-2-424-42-20022-224-4-20000000000002-200000000−4i4i0000000000000000000000002i−2i0000000000000
χ734-4-44-24-44-2-424-42-24-422-2-2-442000000-22004-4-220000000000000000000000000-220000000000000000000000
χ744-4-44-24-44-2-424-42-2-4422-2-2-4420000002-200-44-2200000000000000000000000002-20000000000000000000000
χ754-4-44-2-2-44-222-22214-4-1-11-22-22000000-2223−23-221-123−2300−3−333000000000000000−331-10000000000000000000000
χ764-4-44-2-2-44-222-22214-4-1-11-22-22000000-22−2323-221-1−23230033−3−30000000000000003−31-10000000000000000000000
χ774-4-44-2-2-44-222-2221-44-1-11-22-220000002-223−232-21-1−23230033−3−3000000000000000−33-110000000000000000000000
χ784-4-44-2-2-44-222-2221-44-1-11-22-220000002-2−23232-21-123−2300−3−3330000000000000003−3-110000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-8-4-8448-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4444-4200-22-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ8288-8-8-4-4004-4444-4200-22-200000000000000000000−26266−66−600000000000000000000000000000000000000000
χ838-88-88-400-8484-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-8-4-884-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ868-88-8-4-40044-44-442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000
χ878-8-88-4-48-8-444-444200-2-224-44-4000000000000-220000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).